Pith Number

pith:PZCX66ZP

pith:2018:PZCX66ZPDHFRKAQHWQJVNO6KR3

not attested not anchored not stored refs pending

Weighted extremal K\"ahler metrics and the Einstein-Maxwell geometry of projective bundles

Christina W. T{\o}nnesen-Friedman, Gideon Maschler, Vestislav Apostolov

arxiv:1808.02813 v1 · 2018-08-08 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZCX66ZPDHFRKAQHWQJVNO6KR3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:08:32.137934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e457f7b2f19cb150207b41356bbca8ed360e3f5ff4513a35048ec68c8e73b33

Aliases

arxiv: 1808.02813 · arxiv_version: 1808.02813v1 · doi: 10.48550/arxiv.1808.02813 · pith_short_12: PZCX66ZPDHFR · pith_short_16: PZCX66ZPDHFRKAQH · pith_short_8: PZCX66ZP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PZCX66ZPDHFRKAQHWQJVNO6KR3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7e457f7b2f19cb150207b41356bbca8ed360e3f5ff4513a35048ec68c8e73b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c18eb26902ce59504adb6a6fa743c9a7da0063dccc38ca33db9d4bff88fae24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-08T15:10:19Z",
    "title_canon_sha256": "cbda120fd0334a0371d689ab076dfae0f0c39882d02bc404fddbc882ea92e0b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02813",
    "kind": "arxiv",
    "version": 1
  }
}